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Finding the Third Proportional to 751,829.63 and 1,754,329.69

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Solution

The third proportional to 751,829.63 and 1,754,329.69 is: 4,093,577.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,829.63 : 1,754,329.69 = 1,754,329.69 : x
  2. Step 2: Convert to fraction form
    751,829.63/1,754,329.69 = 1,754,329.69/x
  3. Step 3: Cross multiply
    751,829.63x = 1,754,329.69 × 1,754,329.69
  4. Step 4: Simplify right side
    751,829.63x = 3,077,672,652,443.85
  5. Step 5: Solve for x
    x = 3,077,672,652,443.85/751,829.63
  6. Step 6: Final answer
    x = 4,093,577.25

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.